Tyrese understood that without a map, finding the treasury inside the Pyramid was going to take days if not more... the Pyramid was at least five times bigger than Khufu.
With the threat of Ashfall hanging above their heads like a judgment sword, he couldn't afford to split his party from Arthur and the girls... they were the only ones with a map, and he preferred getting to the throne chamber at least to search for artifacts and other treasures born out of the Shadow dimension's corruption-twisting nature.
So, although the situation sucked for them, he had no interest in whining or giving Levi's team a hard time about it... the fact that they were still active in the site was thanks to them, and he wasn't one to forget someone's goodwill.
As for Evangeline and her teammates? Their eyelids kept twitching, feeling like their good morals were being wasted on a bunch of sly pricks… who wanted them gone the second they entered the pyramid.
"Please lead the way."